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Finding the Third Proportional to 296,648 and 614,323

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Solution

The third proportional to 296,648 and 614,323 is: 1,272,190.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,648 : 614,323 = 614,323 : x
  2. Step 2: Convert to fraction form
    296,648/614,323 = 614,323/x
  3. Step 3: Cross multiply
    296,648x = 614,323 × 614,323
  4. Step 4: Simplify right side
    296,648x = 377,392,748,329
  5. Step 5: Solve for x
    x = 377,392,748,329/296,648
  6. Step 6: Final answer
    x = 1,272,190.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.